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Finite-dimensional reduction of systems of nonlinear diffusion equations - MaRDI portal

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Finite-dimensional reduction of systems of nonlinear diffusion equations

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Publication:6412635

DOI10.1134/S0001434623010297arXiv2210.00499MaRDI QIDQ6412635

Author name not available (Why is that?)

Publication date: 2 October 2022

Abstract: We present a class of one-dimensional systems of nonlinear parabolic equations for which long-time phase dynamics can be described by an ODE with a Lipschitz vector field in R^n. In the considered case of the Dirichlet boundary value problem sufficient conditions for a finite-dimensional reduction turn out to be much wider than the known conditions of this kind for a periodic situation.





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